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arXiv · 2311.02325

Lebesgue Property and $G$-completeness in Generalized Quasi-uniform Spaces

Sugata Adhya·A. Deb Ray
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Abstract

This paper extends the Lebesgue property and (weak) $G$-completeness to generalized quasi-uniform spaces. It investigates the connections between completeness, (weak) $G$-completeness, and the Lebesgue property of the product of generalized quasi-uniform spaces with those of the component spaces. It has been observed that the related behaviors differ for the Lebesgue property in contrast to completeness and (weak) $G$-completeness.

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Sugata Adhya, A. Deb Ray. 2023-11-04. Lebesgue Property and $G$-completeness in Generalized Quasi-uniform Spaces. https://arxiv.org/abs/2311.02325

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